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Finding the Third Proportional to 136,128,060 and 298,705,752

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Solution

The third proportional to 136,128,060 and 298,705,752 is: 655,449,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,128,060 : 298,705,752 = 298,705,752 : x
  2. Step 2: Convert to fraction form
    136,128,060/298,705,752 = 298,705,752/x
  3. Step 3: Cross multiply
    136,128,060x = 298,705,752 × 298,705,752
  4. Step 4: Simplify right side
    136,128,060x = 89,225,126,277,885,504
  5. Step 5: Solve for x
    x = 89,225,126,277,885,504/136,128,060
  6. Step 6: Final answer
    x = 655,449,921.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.